Select the correct answerThe average of square of natural numbers from 1 to 35 is?Options425526435426
Question
Select the correct answerThe average of square of natural numbers from 1 to 35 is?Options425526435426
Solution 1
To find the average of the squares of natural
Solution 2
The formula for the average of squares of first n natural numbers is given by (n*(n+1)*(2n+1))/6.
Let's use this formula to find the average of squares of first 35 natural numbers.
Substitute n=35 in the formula, we get:
Average = (35*(35+1)(235+1))/6 = (353671)/6 = 35671 = 14910.
Now, this is the sum of squares of first 35 natural numbers. To find the average, we need to divide this sum by the total number of terms, which is 35.
So, Average = 14910/35 = 426.
Therefore, the correct answer is 426.
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